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Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:Baichung's Father is 26 years younger than Baichung's Grandfather and 29 years older than Baichung.The sum of the ages of all the three is 135. To do :We have to find the ages of each of them.Solution :Let the age of Baichung be $x$ and the age of the grandfather be ... Read More

I have a total of \( Rs. 300 \) in coins of denomination \( Rs. 1, Rs. 2 \) and \( Rs. 5 \). The number of \( Rs. 2 \) coins is 3 times the number of \( Rs. 5 \) coins. The total number of coins is 160 . How many coins of each denomination are with me?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given :The total number of coins $= 160$.Sum total of all coins $= Rs. 300$.Coins are in the denomination  $\ Rs. 1, \ Rs. 2, $ and $\ Rs. 5$. The number of $\ Rs. 2$ coins is 3 times the number of $\ Rs. 5$ coins.To do :We have to ... Read More

The organisers of an essay competition decide that a winner in the competition gets a prize of \( Rs. 100 \) and a participant who does not win gets a prize of \( Rs. 25 \). The total prize money distributed is Rs. 3,000 . Find the number of winners, if the total number of participants is \( 63 . \)

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given :A winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3, 000.The total number of participants $= 63$.To find :We have to find the number of winners.Solution :Let ... Read More

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given: A Positive number is 5 times another number and if 21 is added to both the numbers, then one of the new numbers becomes twice the other new number.To do: We have to find the numbers.Solution: Let the smaller number be $a$This implies, The other number $= 5a$Adding $21$ to both numbers, ... Read More

Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age. What are their present ages?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given :Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age.To do :We have to find their present ages.Solution :Let the present age of Shobo be $x$.This implies, The present age of Shobo's mother $=6\times ... Read More

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per metre and trouser material that costs him Rs. 90 per metre. For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at \( 12 \% \) and \( 10 \% \) profit respectively. His total sale is \( Rs. 36,600 \). How much trouser material did he buy?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. 50 per metre and trouser material that costs him Rs. 90 per metre. For every 3 meters of the shirt material he buys 2 metres of the trouser material. He sells the materials at ... Read More

Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. To do: We have to find the number of deer in the herd.Solution:Let the total number of deer be $x$This implies, Number ... Read More

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:A grand father is ten times older than his granddaughter.He is also 54 years older than her.To do: We have to find the present ages of Grand father and his grand daughter.Solution:Let the present age of the grand daughter be $a$The grand father is ten times older than his granddaughter.This implies, ... Read More

Aman's age is three times his son's age. Ten years ago he was five times his son's age. Find their present ages.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given :Aman's age is three times his son's age.10 years ago he was five times his son's age.To do :We have to find their present ages.Solution :Let the present age of his son be $x$.This implies, that Aman's present age $=3x$.10 years ago, the age of Aman is 5 times ... Read More

Solve the following linear equation.
\( \frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4} \).

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:47:38

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Given:$\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}$.To do:We have to solve the given linear equation.Solution: $\frac{x}{2} - \frac{1}{5} = \frac{x}{3}+\frac{1}{4}$This implies, $\frac{x}{2} -\frac{x}{3} =\frac{1}{4} +\frac{1}{5}$$\frac{3\times x-2\times x}{6}=\frac{1\times5+1\times4}{20}$$\frac{3x-2x}{6}=\frac{5+4}{20}$$\frac{x}{6}=\frac{9}{20}$$x=6\times\frac{9}{20}$$x=\frac{27}{10}$The value of $x$ is $\frac{27}{10}$.Read More

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